摘要
本文对各向同性和正交各向异性双材料弯曲断裂问题进行了研究.根据板的弯曲理论建立了各向同性和正交各向异性双材料界面裂纹弯曲问题的基本方程,通过复变函数理论,引入含待定系数的挠度函数,采用特征值分析方法,研究解决一类偏微分方程组的边值问题,得到了在纯弯、纯扭、弯扭载荷作用下的各向同性和正交各向异性双材料中心穿透界面裂纹尖端附近的弯矩、扭矩、应力和应变的理论公式.
The bending fracture problems of the isotropic and orthotropic materials are studied.According to the plate bending theory,the basic equation of bending problem under isotropic and orthotropic material interface crack is established.Through the function of complex varible theory,introducing the deflection function containing undetermined coefficients and the eigenvalue analysis method,the solution is to solve a class of boundary value problems of partial differential equations;and a theoretical formula of bending moment, torque and stress is obtained of central penetrated interface crack tip in the loading of pure bending,pure torsion or bending and torsion under isotropic and orthotropic materials.
出处
《三峡大学学报（自然科学版）》
CAS
2013年第6期74-79,共6页
Journal of China Three Gorges University：Natural Sciences
基金
山西省自然科学基金(2011011021-3
2012011019-2)
山西省教育厅科技开发项目(20111093)
关键词
纯扭载荷
中心穿透
界面裂纹
应力强度因子
purely torsional load
central penetration
interface cracking
stress intensity factor
